Answer:
1000
Step-by-step explanation:
Given data
we have the sequence
25, 10, -5, ...
we want to find the 66th term, let us apply the formula
an = a + (n – 1)d
a= 25
n= 66
d= 15
substitute
a66= 25+(66-1)15
a66= 25+(65)*15
a66= 25+975
a66= 1000
Hence the 66th term is 1000
A parabola opens upward. The parabola goes through the point (3,-1),
and the vertex is at (2,-2).
Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.
Answer:
a=1
Step-by-step explanation:
Hopefully this helps :)
The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A
The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:
y = A(x - 2)² - 2
We can plug the point (3,-1) into this equation to find the value of A.
-1 = A(3 - 2)² - 2
Simplifying the right side of the equation, we get:
-1 = A - 2
Adding 2 to both sides of the equation, we get:
1 = A
Therefore, the value of A is 1.
Writing the equation of the parabola
The equation of the parabola is:
y = (x - 2)² - 2
To know more about parabola:
https://brainly.com/question/11911877
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The formula for the circumference of a circle is R = c/2(pi)
Find the radius of a circle that has a circumference of 16(pi)
A) r = 4
B) r = 8
C) r = 12
D) r = 16
On the unit circle, which of the following angles has the terminal point
coordinates.
A. 45
B. 135
C. 225
D. 315
Answer: C. 225
Step-by-step explanation:
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answer:
16/8 + 24
Step-by-step explanation:
What’s the equation of the line that passes through the point (-4,4) and has a slope of 3/4
Answer:
y-y1=m(x-x1)
y-4=3/4(x+4)
y=3/4x+7
The cost for 2 adults and 5 children to eat at the local buffet restaurant is \$46.50 . The cost for 1 adult and 1 child is $15. What is the cost of a child's meal ?
Answer:
c = 5.5
Step-by-step explanation:
2 a + 5 c = 46.50
a + c = 15
a = 15 - c
2(15-c ) +5c = 46.50
30 - 2c +5c = 46.5
3c = 16.5
c = 5.5
Nathan is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 38.15 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
11.26 m
Step-by-step explanation:
The height of the tree is about 11.25 meters.
What are similar triangles?When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.
Given that, the height of the person is 1.55 meters, the length of the tree's shadow is 38.15 meters, and the distance between the person and the tree is 32.9 meters.
Let the height of the tree be x.
Note that the scenario makes two similar triangles.
Since the ratio of the side lengths of similar triangles is proportional, it follows:
(38.15 - 32.9)/1.55 = 38.15/x
5.25/1.55 = 38.15/x
3.39 = 38.15/x
x = 38.15/3.39
x = 11.25
Hence, the height of the tree is about 11.25 meters.
Learn more about similar triangles: https://brainly.com/question/25882965
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What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a .
Answer:
A mammogram is what she would receive
Step-by-step explanation:
Explain how the quotient of powers was used to simplify this expression
Answer:
See explanation
Step-by-step explanation:
Given:
5⁴/25 = 5²
25 = 5²
Then,
5⁴ / 25
= 5⁴/5²
Note:
• multiplication sign means addition in indices
• Division sign means subtraction in indices
Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers
So,
5⁴/5²
= 5^(4 - 2)
= 5^(2)
= 5²
Therefore,
5⁴ / 25 = 5²
help and explain//////////////////////////////////////////////
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
solve for x. Round to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
We used SOHCAHTOA because it's a right angle triangle
So because we have an angle with an adjacent of 6.3 and hypotenuse of x
We will use
Cos=adjacent /hypotenuse
jordan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually how much will jordan have in the account after 5 years it he deposits $7,000 today?
Answer:
8,723.27$
Step-by-step explanation:
find the domain of f(x)=sec(2x)
Answer:
*Refer the image attached
Step-by-step explanation:
*Refer the image attached
someone help me for this algebra task please
Heya Kitties!
What is the value of x?
18x−16=−12x−4
x =
Answer:
2/5
Step-by-step explanation:
18x+12x=-4+16
30x=12
x=2/5
Answer:
18x-16=-12x-4
18x+12x=-4+16
30x=12
x=12/30
x=2/5
2 1/4 x 3 1/5 brainliest
Answer:
36/5
Step-by-step explanation:
9/4×16/5
144/20
36/5
hope this is helpful
Answer:
[tex]7\frac{1}{5}[/tex]
Step-by-step explanation:
1. start by turning the fractions improper fractions:
[tex]2\frac{1}{4} =\frac{9}{4}[/tex]
[tex]3\frac{1}{5} =\frac{16}{5}[/tex]
2. then multiply them together:
[tex]\frac{9}{4}[/tex] x [tex]\frac{16}{5}[/tex] = [tex]\frac{144}{20}[/tex]
3. then simplify the fraction:
[tex]\frac{144}{20}[/tex][tex]=\frac{36}{5}[/tex]
4. turn it into a proper fraction:
[tex]\frac{36}{5} =7\frac{1}{5}[/tex]
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Answer:
17253.52
Step-by-step explanation:
100-9.5=90.5
19064.67*0.905=17253.52
It took Sarah 4 days to write a paper, she wrote 12 pages on day 1, 15 pages on day 2 and 9 pages on day 3. If she wrote 12 pages per day , how many pages did she write on the fourth day ?
Answer:
Option A
Step-by-step explanation:
Sarah took 4 days to write a paper.
She wrote 12 pages per day, so total number of pages she wrote in 4 days = 12 × 4
= 48 pages
On day 1, she wrote number of pages = 12
On day 2, she wrote number of pages = 15
On day 3, she wrote number of pages = 9
On day 4, she wrote number of pages = P
She wrote total number pages in 4 days = 12 + 15 + 9 + P
= 36 + P
Therefore, P + 36 = 48
P = 48 - 36
P = 12
She wrote 12 pages on day 4.
Option A is the answer.
Which expressions are equivalent to 6 - 4.5+ (-8) ?
A 6 + 4.5 + 8
B 6 + 4.5 - 8
C 6 – 4.5'+8
D 6 - 4.5 - 8
E 6+(-4.5) - 8
F 6+(-4.5) + (-8).
G 6+ (-4.5) - (-8)
Answer:
I'm pretty sure the answers are options D , E and F .
Step-by-step explanation:
So here's how I did it , I got the original expression , solved it and the answer I found is -6.5. So then I solved all the others and D , E and F gave me -6.5.
Hope this helps lol
What is the value of x?
Answer:
D. 30°
Step-by-step explanation:
By exterior angle theorem:
x° + 70° = 100°
x° = 100° - 70°
x° = 30°
x = 30
find the slope of the line passing through the points (-2,5) and (3/2,2)
Answer:
slope = - [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 2)
m = [tex]\frac{2-5}{\frac{3}{2}-(-2) }[/tex]
= [tex]\frac{-3}{\frac{3}{2}+2 }[/tex]
= [tex]\frac{-3}{\frac{7}{2} }[/tex]
= - 3 × [tex]\frac{2}{7}[/tex]
= - [tex]\frac{6}{7}[/tex]
The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?
Hello,
546=2*3*7*13
a=2, b=3,c=7,d=13
b+c=3+7=10
Greg buys 60 garden plants at a cost price of $2.00 each to sell in his shop. He sells 25 of them at the profit of 75% and 18 of them at the profit of 35%. He sells the rest of the plants for 4/5 of the cost price calculate the profit or loss he makes from selling 60 plants stating if it is a profit or loss
Answer:
$43.30 profitStep-by-step explanation:
Total cost of plant:
60*2 = 120Greg makes total of:
25*(2 + 0.75*2) + 18*(2 + 0.35*2) + (60 - 25 - 18)*2*4/5 = 163.3Since Greg mare than cost, he has a profit and the amount is:
163.3 - 120 = 43.3What are the solutions to the quadratic equation 3(x – 42 = 752
5) On each birthday Rosa gets as many roses as she is old in years. She still has all the dried flowers and there are now 120 of them. How old is she? A) 10 B) 12 C) 14 D) 15 E) 20
Answer:
D) 15
Step-by-step explanation:
This is an arithmatic progression.
The formula for the sum of arithmatic progression is
[tex]s = \frac{n}{2} (2a + (n - 1)d)[/tex]
where d is the common difference between successive terms and a is the first term. By applying this formula,
[tex]120 = \frac{n}{2} (2(1) + (n - 1)(1)) \\ 120 = \frac{n}{2} (1 + n) \\ n(1 + n) = 240 \\ n {}^{2} + n - 240 = 0 \\ (n - 15)(n + 16) = 0 \\ n = 15 \: or \: n = - 16(reject)[/tex]
HELP SOMEONE PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
3/10
Step-by-step explanation:
The question asks for the probability of finding 4 or more, so first, you must add up all of the teenagers that have 4 or more shoes. Both the 4 and 5 categories fit, so add 20 and 10. Then, find the total number of people in the sample size. Overall, 100 teenagers are represented. Finally, put the number of people that have 4 or more shoes, 30, over the sample size, 100. This equals 30/100 which should be simplified to 3/10.
1 Find x and H in the right angled below
You didn't include the right triangle but this is all I could find.
x = 1
H = sqrt(15)
(x+4y)^(6)
Can Someone please me how to do this PLEASE!
If xy = 6 and x = 2, then x + y =
Answer:
5
Step-by-step explanation:
xy= 6
x= 2
x + y = ?
Plug in x=2 in the first equation:
2y=6
y=3
then plug x=2 and y=3 into the one you're solving for:
2+3=5
Hope that helps!
